Narrative in sociology, cognitive psychology, literature in the above.
Narrative's connection to literature, including drama, is of course extensive, and references can be found throughout the book. There is also a lot of discussion of narrative's connection to linguistics and discourse analysis in the book. Narrative, as you know, has connections to film, and a whole chapter (chapter 11) is devoted to it. These are of course the 'usual suspects' in most discussions of narrative. Another 'usual suspect' is semiotics, and there is quite a bit of discussion on it in the chapter on film, and also, in the twelfth chapter, on symbol and allegory.
Narrative in cognitive psychology: discussion of the concept of the schema in the chapter (passim). The concept of the schema has its origin in the philosophy of Immanuel Kant, and has been used not only for the analysis of narrative in cognitive psychology, beginning with the important work done by Bartlett, but also in art criticism: see section 2 of the chapter above for the references. It has also been used in artificial intelligence, where the concept of the script can be related to elementary or very simple narratives.
In addition to the brief reference to philosophy in the eighth chapter above, there are also references to moral philosophy and to some contemporary moral philosophers in the thirteenth chapter below.
Of course, the whole chapter can be considered as having a connection to moral philosophy. Also, a key figure in the philosophical connections of narrative is Aristotle, and references to him can be found throughout the book: please refer to the book's index, where you can also find his connections to aesthetics, which is another branch of philosophy that is important in the discussion of narrative.